Timeline for Moving on Riemannian manifolds
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 13, 2020 at 18:54 | comment | added | Ryan Budney | You are talking about the Dirichlet domain / Voronoi diagram of a pair of points. It perhaps has other names, but that's one. | |
| Jul 13, 2020 at 18:12 | history | edited | ryanriess | CC BY-SA 4.0 |
added 274 characters in body
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| Jul 13, 2020 at 17:51 | comment | added | ryanriess | @AlexandreEremenko I am not sure, and that is what I am wondering. Put it in another way, fix any $a$ and $b$ on a Riemannian manifold, what is the set of points $c$ such that when $c$ moves to $a$ through geodesics, $c$ is moving away from $b$? | |
| Jul 13, 2020 at 17:36 | comment | added | Alexandre Eremenko | Then please explain what are the South and North poles for arbitrary Riemannian metric. | |
| Jul 13, 2020 at 16:38 | comment | added | ryanriess | @AlexandreEremenko In this case $c$ is not inside the disk with $a$ and $b$ as south and north poles, where the disk is $[1,2]$. | |
| Jul 13, 2020 at 11:41 | review | Close votes | |||
| Jul 18, 2020 at 15:14 | |||||
| Jul 13, 2020 at 11:24 | comment | added | Alexandre Eremenko | Let your space be a line, $c=0,a=1,b=2$. When $c$ moves to $a$ through the line segment $[0,1]$, it is moving towards $b$. | |
| Jul 13, 2020 at 6:34 | history | asked | ryanriess | CC BY-SA 4.0 |